Show that the $limit$ below does not exist $by$ evaluating the $limit$ along two different paths.

$\underset{(x,y)(0,0)}{lim}\frac{2x^{2}y}{2x^4+2y^2}$

$a(0,0)$ along the path $y=0.$

Limit:

$b(0,0)$ along the path $y=3x^2.$

Limit:

$c$